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PAPER VII : ELECTRODYNAMICS AND PLASMA PHYSICS

UNIT I

Review of Four-Vector and Lorentz Transformation in Four-Dimensional Space, Electromagnetic Field Tensor in Four Dimensions and Maxwell’s Equations, Dual Field Tensor, Wave Equation for Vector and Scalar Potential and Solution Retarded Potential and Lienard- Wiechert Potential, Electric and magnetic fields due to a Uniformly Moving Charge and An Accelerated Charge, Linear and Circular Acceleration and Angular Distribution of Power Radiated, Bremsstrahlung, Synchrotron Radiation and Cerenkov Radiation, Reaction Force of Radiation.

Unit II
Motion of charged particles in electric and magnetic fields: Uniform E and B fields,Nonuniform E and B fields, magnetic mirrors, time varying E and B fields , adiabatic invarients,first,second and third.

Unit III
Fluid equations for plasma, equilibrium and stability: Relation of plasma physics to ordinary electromagnetics, the fluid equations for plasma, fluid drifts perpendicular and parallel to B, the plasma approximation. Hydromagnetic equilibrium, the concept of β, diffusion of magnetic field into a plasma, Classification of instabilities, two stream and gravitational instabilities.

Unit IV
Waves in plasma: Representation of waves, group velocity, plasma oscillations, electron plasma waves, sound waves, ion waves, validity of plasma approximation, comparison of ion and electron waves, electrostatic electron oscillations perpendicular to B, electrostatic ion waves perpendicular to B,the lower hybrid frequency, electromagnetic waves with B0=0, experimental applications, electromagnetic waves perpendicular to B0, cutoffs and resonances, the CMA diagram, hydromagnetic waves, Alfven waves and their measurement.

Unit V
Kinetic theory for plasma: The meaning of the distribution function f (v), equations of kinetic theory, Vlasov equation, Fokker-Plank equation, derivation of fluid equations, plasma oscillations and Landau damping ,the meaning of Landau damping, kinetic energy of a beam of electrons,BGK and Van Kampen modes, experimental verification.

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